Journal
NONLINEAR DYNAMICS
Volume 110, Issue 2, Pages 1867-1877Publisher
SPRINGER
DOI: 10.1007/s11071-022-07723-w
Keywords
High-dimensional chaotic system; Coexisting attractor; Hopf bifurcation; Anti-control of Hopf bifurcation
Categories
Funding
- higher vocational education teaching fusion production integration platform construction projects of Jiangsu province [2019(26)]
- natural science fund of Jiangsu province [BK20131097]
- Qin Lan project teaching team in colleges and universities of Jiangsu province [2017(15)]
- high level of Jiangsu province key construction project funding [2017(17)]
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This paper presents a new method for anti-control of Hopf bifurcation in high-dimensional chaotic systems and verifies it through simulation results.
The anti-control of Hopf bifurcation is a common means used in the applications of chaos. Hopf bifurcation phenomenon can be advanced or delayed by the anti-control of Hopf bifurcation to meet the practical needs of engineering. At present, there are few research achievements on anti-control of Hopf bifurcation of low-dimensional chaotic systems, and the control process is complex, and the control effect is not outstanding. This paper takes the high-dimensional chaotic system with coexisting attractors as an example and uses dynamic state feedback control method to implement anti-control of Hopf bifurcation. By introducing adjusted parameters, Hopf bifurcation can be generated at any predetermined location of high-dimensional chaotic system to achieve the desired purpose of anti-control of Hopf bifurcation. The method for anti-control of Hopf bifurcation avoids the complicated calculation process and has remarkable control effect. According to the results of simulation, the anti-control of Hopf bifurcation for high-dimensional chaotic system is verified.
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